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10020003120 = 24325411971723
BaseRepresentation
bin10010101010011110…
…10001110100110000
3221212022101220020200
421111033101310300
5131010110044440
64334135235200
7503206423041
oct112517216460
927768356220
1010020003120
114282037716
121b37818b00
13c38ba213a
146b0a8c8c8
153d9a0ec30
hex2553d1d30

10020003120 has 240 divisors, whose sum is σ = 34666343712. Its totient is φ = 2592092160.

The previous prime is 10020003113. The next prime is 10020003127. The reversal of 10020003120 is 2130002001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10020003113) and next prime (10020003127).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10020003127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5814579 + ... + 5816301.

Almost surely, 210020003120 is an apocalyptic number.

10020003120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17333171856).

10020003120 is an abundant number, since it is smaller than the sum of its proper divisors (24646340592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10020003120 is a wasteful number, since it uses less digits than its factorization.

10020003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10020003120 its reverse (2130002001), we get a palindrome (12150005121).

The spelling of 10020003120 in words is "ten billion, twenty million, three thousand, one hundred twenty".